0.05/0.17 MAYBE 0.05/0.17 0.05/0.17 Preprocessing Cost Relations 0.05/0.17 ===================================== 0.05/0.17 0.05/0.17 #### Computed strongly connected components 0.05/0.17 0. recursive : [eval_foo_bb1_in/2,eval_foo_bb2_in/2,eval_foo_bb3_in/2,eval_foo_bb4_in/2] 0.05/0.17 1. non_recursive : [eval_foo_stop/1] 0.05/0.17 2. non_recursive : [eval_foo_bb5_in/1] 0.05/0.17 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.05/0.17 4. non_recursive : [eval_foo_bb0_in/2] 0.05/0.17 5. non_recursive : [eval_foo_start/2] 0.05/0.17 0.05/0.17 #### Obtained direct recursion through partial evaluation 0.05/0.17 0. SCC is partially evaluated into eval_foo_bb1_in/2 0.05/0.17 1. SCC is completely evaluated into other SCCs 0.05/0.17 2. SCC is completely evaluated into other SCCs 0.05/0.17 3. SCC is completely evaluated into other SCCs 0.05/0.17 4. SCC is partially evaluated into eval_foo_bb0_in/2 0.05/0.17 5. SCC is partially evaluated into eval_foo_start/2 0.05/0.17 0.05/0.17 Control-Flow Refinement of Cost Relations 0.05/0.17 ===================================== 0.05/0.17 0.05/0.17 ### Specialization of cost equations eval_foo_bb1_in/2 0.05/0.17 * CE 8 is refined into CE [9] 0.05/0.17 * CE 5 is refined into CE [10] 0.05/0.17 * CE 4 is refined into CE [11] 0.05/0.17 * CE 6 is refined into CE [12] 0.05/0.17 * CE 7 is refined into CE [13] 0.05/0.17 * CE 3 is refined into CE [14] 0.05/0.17 0.05/0.17 0.05/0.17 ### Cost equations --> "Loop" of eval_foo_bb1_in/2 0.05/0.17 * CEs [10] --> Loop 9 0.05/0.17 * CEs [11] --> Loop 10 0.05/0.17 * CEs [12] --> Loop 11 0.05/0.17 * CEs [13] --> Loop 12 0.05/0.17 * CEs [14] --> Loop 13 0.05/0.17 * CEs [9] --> Loop 14 0.05/0.17 0.05/0.17 ### Ranking functions of CR eval_foo_bb1_in(V__0,B) 0.05/0.17 * RF of phase [9]: [V__0] 0.05/0.17 0.05/0.17 #### Partial ranking functions of CR eval_foo_bb1_in(V__0,B) 0.05/0.17 * Partial RF of phase [9]: 0.05/0.17 - RF of loop [9:1]: 0.05/0.17 V__0 0.05/0.17 0.05/0.17 0.05/0.17 ### Specialization of cost equations eval_foo_bb0_in/2 0.05/0.17 * CE 2 is refined into CE [15,16,17,18,19,20] 0.05/0.17 0.05/0.17 0.05/0.17 ### Cost equations --> "Loop" of eval_foo_bb0_in/2 0.05/0.17 * CEs [19] --> Loop 15 0.05/0.17 * CEs [20] --> Loop 16 0.05/0.17 * CEs [18] --> Loop 17 0.05/0.17 * CEs [17] --> Loop 18 0.05/0.17 * CEs [16] --> Loop 19 0.05/0.17 * CEs [15] --> Loop 20 0.05/0.17 0.05/0.17 ### Ranking functions of CR eval_foo_bb0_in(V_x,B) 0.05/0.17 0.05/0.17 #### Partial ranking functions of CR eval_foo_bb0_in(V_x,B) 0.05/0.17 0.05/0.17 0.05/0.17 ### Specialization of cost equations eval_foo_start/2 0.05/0.17 * CE 1 is refined into CE [21,22,23,24,25,26] 0.05/0.17 0.05/0.17 0.05/0.17 ### Cost equations --> "Loop" of eval_foo_start/2 0.05/0.17 * CEs [26] --> Loop 21 0.05/0.17 * CEs [25] --> Loop 22 0.05/0.17 * CEs [24] --> Loop 23 0.05/0.17 * CEs [23] --> Loop 24 0.05/0.17 * CEs [22] --> Loop 25 0.05/0.17 * CEs [21] --> Loop 26 0.05/0.17 0.05/0.17 ### Ranking functions of CR eval_foo_start(V_x,B) 0.05/0.17 0.05/0.17 #### Partial ranking functions of CR eval_foo_start(V_x,B) 0.05/0.17 0.05/0.17 0.05/0.17 Computing Bounds 0.05/0.17 ===================================== 0.05/0.17 0.05/0.17 #### Cost of chains of eval_foo_bb1_in(V__0,B): 0.05/0.17 * Chain [[13]]...: 1*it(13)+0 0.05/0.17 with precondition: [V__0+5>=0,0>=V__0+1,B=2] 0.05/0.17 0.05/0.17 * Chain [[10]]...: 1*it(10)+0 0.05/0.17 with precondition: [V__0>=31,35>=V__0,B=2] 0.05/0.17 0.05/0.17 * Chain [[9],14]: 1*it(9)+0 0.05/0.17 Such that:it(9) =< V__0 0.05/0.17 0.05/0.17 with precondition: [B=2,30>=V__0,V__0>=1] 0.05/0.17 0.05/0.17 * Chain [14]: 0 0.05/0.17 with precondition: [V__0=0,B=2] 0.05/0.17 0.05/0.17 * Chain [12,14]: 1 0.05/0.17 with precondition: [B=2,0>=V__0+6] 0.05/0.17 0.05/0.17 * Chain [11,14]: 1 0.05/0.17 with precondition: [B=2,V__0>=36] 0.05/0.17 0.05/0.17 0.05/0.17 #### Cost of chains of eval_foo_bb0_in(V_x,B): 0.05/0.17 * Chain [20]: 0 0.05/0.17 with precondition: [V_x=0] 0.05/0.17 0.05/0.17 * Chain [19]: 1*s(1)+0 0.05/0.17 Such that:s(1) =< V_x 0.05/0.17 0.05/0.17 with precondition: [30>=V_x,V_x>=1] 0.05/0.17 0.05/0.17 * Chain [18]: 1 0.05/0.17 with precondition: [0>=V_x+6] 0.05/0.17 0.05/0.17 * Chain [17]: 1 0.05/0.17 with precondition: [V_x>=36] 0.05/0.17 0.05/0.17 * Chain [16]...: 1*s(2)+0 0.05/0.17 with precondition: [35>=V_x,V_x>=31] 0.05/0.17 0.05/0.17 * Chain [15]...: 1*s(3)+0 0.05/0.17 with precondition: [0>=V_x+1,V_x+5>=0] 0.05/0.17 0.05/0.17 0.05/0.17 #### Cost of chains of eval_foo_start(V_x,B): 0.05/0.17 * Chain [26]: 0 0.05/0.17 with precondition: [V_x=0] 0.05/0.17 0.05/0.17 * Chain [25]: 1*s(4)+0 0.05/0.17 Such that:s(4) =< V_x 0.05/0.17 0.05/0.17 with precondition: [30>=V_x,V_x>=1] 0.05/0.17 0.05/0.17 * Chain [24]: 1 0.05/0.17 with precondition: [0>=V_x+6] 0.05/0.17 0.05/0.17 * Chain [23]: 1 0.05/0.17 with precondition: [V_x>=36] 0.05/0.17 0.05/0.17 * Chain [22]...: 1*s(5)+0 0.05/0.17 with precondition: [35>=V_x,V_x>=31] 0.05/0.17 0.05/0.17 * Chain [21]...: 1*s(6)+0 0.05/0.17 with precondition: [0>=V_x+1,V_x+5>=0] 0.05/0.17 0.05/0.17 0.05/0.17 Closed-form bounds of eval_foo_start(V_x,B): 0.05/0.17 ------------------------------------- 0.05/0.17 * Chain [26] with precondition: [V_x=0] 0.05/0.17 - Upper bound: 0 0.05/0.17 - Complexity: constant 0.05/0.17 * Chain [25] with precondition: [30>=V_x,V_x>=1] 0.05/0.17 - Upper bound: V_x 0.05/0.17 - Complexity: n 0.05/0.17 * Chain [24] with precondition: [0>=V_x+6] 0.05/0.17 - Upper bound: 1 0.05/0.17 - Complexity: constant 0.05/0.17 * Chain [23] with precondition: [V_x>=36] 0.05/0.17 - Upper bound: 1 0.05/0.17 - Complexity: constant 0.05/0.17 * Chain [22]... with precondition: [35>=V_x,V_x>=31] 0.05/0.17 - Upper bound: inf 0.05/0.17 - Complexity: infinity 0.05/0.17 * Chain [21]... with precondition: [0>=V_x+1,V_x+5>=0] 0.05/0.17 - Upper bound: inf 0.05/0.17 - Complexity: infinity 0.05/0.17 0.05/0.17 ### Maximum cost of eval_foo_start(V_x,B): inf 0.05/0.17 Asymptotic class: infinity 0.05/0.17 * Total analysis performed in 101 ms. 0.05/0.17 0.05/0.27 EOF